Hi mate. My family and myself have played NA for the last 4 years and have for the last 6 months also played EU.
Since ZOS decided to route us through Honk Kong the ping for both servers is pretty much the same.
Night time in Australia 6pm> NA is fairly quiet and you will get you best ping then.
Mid morning 10am> on EU is a quiet time. During events and the weekends you will find a lot more lag but that's to be expected.
I can't really vote either way because now its so even.
Play both and see what works for you. If you need any help on either server getting started mail @shugyo on either server.
Good luck and good hunting.
Both servers are absolute garbage for us, but NA is slightly less garbage.